An investigation of the general relativistic (1PN) hydrodynamics in DSX scheme.

Astronomy and Astrophysics – Astronomy

Scientific paper

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Hydrodynamics: General Relativity

Scientific paper

In this paper the general relativistic (1PN) hydrodynamics is established by means of DSX scheme in both local and global coordinates. The stress-energy tensor Tμν of ordinary fluids is calculated in terms of the software Maple, then the energy equation and Euler equation are got in DSX scheme after being reduced and trimmed. All these are done in local coordinates, and the result in global coordinates can be found through the transformation law. Finally, the energy equation and Euler equation in local coordinates in the case of perfect fluids are discussed. The result in global coordinates can be found in the same way.

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